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Finding the Fourth Proportional to 5,135.56, 7,704.50 and 1,848.67

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Solution

The fourth proportional to 5,135.56, 7,704.50 and 1,848.67 is: 2,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.56 : 7,704.50 = 1,848.67 : x
  2. Step 2: Convert to fraction form
    5,135.56/7,704.50 = 1,848.67/x
  3. Step 3: Cross multiply
    5,135.56x = 7,704.50 × 1,848.67
  4. Step 4: Simplify right side
    5,135.56x = 14,243,049.51
  5. Step 5: Solve for x
    x = 14,243,049.51/5,135.56
  6. Step 6: Final answer
    x = 2,773.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.